Publications

Preprints

(with Emile Okada) Ramification of weak Arthur packets for p-adic groups, arXiv (2024) guiding slides

Published or accepted

On local character expansions for principal series representations of general linear groups, arXiv (2024), to appear in IMS Lecture Note Series for "Representations and Characters: Revisiting the Works of Harish-Chandra and André Weil"
(with Chuijia Wang) Parabolic recursions for Kazhdan-Lusztig polynomials and the hypercube decomposition, Selecta Mathematica, New Series 30 (2024), no. 81 doi
Simple modules for quiver Hecke algebras and the Robinson-Schensted-Knuth correspondence, Journal of the London Mathematical Society 107 (2023) no. 2, pp. 704-749 doi
A triangular system for local character expansions of Iwahori-spherical representations of general linear groups, Comptes Rendus Mathématique 361 (2023), pp. 21-30 doi
Graded Specht modules as Bernstein-Zelevinsky derivatives of the RSK model, International Mathematics Research Notices 2023 (2022) no. 16, pp. 14043-14102 doi
On restriction of unitarizable representations of general linear groups and the non-generic local Gan-Gross-Prasad conjecture, Journal of the European Mathematical Society 24 (2022), no. 1, pp. 265–302 doi
(with Erez Lapid, appendix by Mark Shimozono) Robinson-Schensted-Knuth correspondence in the representation theory of the general linear group over a non-archimedean local field, Representation Theory 25 (2021), pp. 644-678 doi
(with Alberto Minguez) Cyclic representations of general linear p-adic groups, Journal of Algebra 585 (2021) pp. 25-35 doi
Quantum invariants for decomposition problems in type A rings of representations, Journal of Combinatorial Theory, Series A 180 (2021) 105431, https://doi.org/10.1016/j.jcta.2021.105431
An identity of parabolic Kazhdan-Lusztig polynomials arising from square-irreducible modules Journal of the Australian Mathematical Society 110 (2021) 81-93. https://doi.org/10.1017/S144678871900017X
Decomposition rules for the ring of representations of non-Archimedean GL_n, International Mathematics Research Notices 2020 (2019), no. 20, pp. 6815–6855, rnz006.
(with Jia-Jun Ma and Arnab Mitra) On two questions concerning representations distinguished by the Galois involution, Forum Mathematicum 30 (2018), no. 1, pp. 141-157. https://doi.org/10.1515/forum-2016-0212
A distributional treatment of relative mirabolic multiplicity one, Journal of Lie Theory 27 (2017), no. 2, pp. 397-417. http://www.heldermann.de/JLT/JLT27/JLT272/jlt27022.htm
(with Omer Offen) A criterion for integrability of matrix coefficients with respect to a symmetric space, Journal of Functional Analysis 12 (2016), no. 12, pp. 4478-4512. https://www.sciencedirect.com/science/article/pii/S0022123616000550
On a local conjecture of Jacquet, ladder representations and standard modules, Mathematische Zeitschrift 281 (2015) pp. 1111–1127 https://link.springer.com/article/10.1007/s00209-015-1522-8
Subproduct systems over N×N, Journal of Functional Analysis 262 (2012), no. 10, 4270-4301. https://www.sciencedirect.com/science/article/pii/S0022123612000857

Surveys

On finite length smooth representations of p-adic general linear groups chapter in RIMS Kôkyûroku No. 2230, proceedings of "Automorphic forms, automorphic L-functions and related topics" workshop (2022)
On the Hecke-algebraic approach for general linear groups over a p-adic field survey chapter in: Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification, in honor of Vyjayanthi Chari, Progress in Mathematics 337 (2021), https://www.springer.com/gp/book/9783030638481

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Publications

Preprints

Published or accepted

On restriction of unitarizable representations of general linear groups and the non-generic local Gan-Gross-Prasad conjecture, Journal of the European Mathematical Society 24 (2022), no. 1, pp. 265–302 doi

(with Erez Lapid, appendix by Mark Shimozono) Robinson-Schensted-Knuth correspondence in the representation theory of the general linear group over a non-archimedean local field, Representation Theory 25 (2021), pp. 644-678 doi

(with Alberto Minguez) Cyclic representations of general linear p-adic groups, Journal of Algebra 585 (2021) pp. 25-35 doi

Quantum invariants for decomposition problems in type A rings of representations, Journal of Combinatorial Theory, Series A 180 (2021) 105431, https://doi.org/10.1016/j.jcta.2021.105431

An identity of parabolic Kazhdan-Lusztig polynomials arising from square-irreducible modules Journal of the Australian Mathematical Society 110 (2021) 81-93. https://doi.org/10.1017/S144678871900017X

Decomposition rules for the ring of representations of non-Archimedean GL_n, International Mathematics Research Notices 2020 (2019), no. 20, pp. 6815–6855, rnz006.

(with Jia-Jun Ma and Arnab Mitra) On two questions concerning representations distinguished by the Galois involution, Forum Mathematicum 30 (2018), no. 1, pp. 141-157. https://doi.org/10.1515/forum-2016-0212

A distributional treatment of relative mirabolic multiplicity one, Journal of Lie Theory 27 (2017), no. 2, pp. 397-417. http://www.heldermann.de/JLT/JLT27/JLT272/jlt27022.htm

(with Omer Offen) A criterion for integrability of matrix coefficients with respect to a symmetric space, Journal of Functional Analysis 12 (2016), no. 12, pp. 4478-4512. https://www.sciencedirect.com/science/article/pii/S0022123616000550

On a local conjecture of Jacquet, ladder representations and standard modules, Mathematische Zeitschrift 281 (2015) pp. 1111–1127 https://link.springer.com/article/10.1007/s00209-015-1522-8

Subproduct systems over N×N, Journal of Functional Analysis 262 (2012), no. 10, 4270-4301. https://www.sciencedirect.com/science/article/pii/S0022123612000857

Surveys